9814000560 has 320 divisors, whose sum is σ = 37977569280. Its totient is φ = 2041159680.

The previous prime is 9814000549. The next prime is 9814000579. The reversal of 9814000560 is 650004189.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1547476 + ... + 1553804.

It is an arithmetic number, because the mean of its divisors is an integer number (118679904).

Almost surely, 2^9814000560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9814000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988784640).

9814000560 is an abundant number, since it is smaller than the sum of its proper divisors (28163568720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9814000560 is a wasteful number, since it uses less digits than its factorization.

9814000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 9814000560 is about 99065.6376348530. The cubic root of 9814000560 is about 2140.9935526783.

The spelling of 9814000560 in words is "nine billion, eight hundred fourteen million, five hundred sixty", and thus it is an aban number.